Search a number
-
+
49009950 = 23252119901
BaseRepresentation
bin1011101011110…
…1010100011110
310102012222000100
42322331110132
5100021304300
64510241530
71133402103
oct272752436
9112188010
1049009950
11257349a0
12144b62a6
13a1cc892
14671aaaa
154481700
hex2ebd51e

49009950 has 72 divisors (see below), whose sum is σ = 143658216. Its totient is φ = 11880000.

The previous prime is 49009927. The next prime is 49009973. The reversal of 49009950 is 5990094.

49009950 is a nontrivial binomial coefficient, being equal to C(9901, 2).

It is an interprime number because it is at equal distance from previous prime (49009927) and next prime (49009973).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1 + ... + 9900.

It is an arithmetic number, because the mean of its divisors is an integer number (1995253).

Almost surely, 249009950 is an apocalyptic number.

49009950 is the 9900-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49009950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71829108).

49009950 is an abundant number, since it is smaller than the sum of its proper divisors (94648266).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49009950 is a wasteful number, since it uses less digits than its factorization.

49009950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9930 (or 9922 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 49009950 is about 7000.7106782097. The cubic root of 49009950 is about 365.9553380959.

The spelling of 49009950 in words is "forty-nine million, nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 9901 19802 29703 49505 59406 89109 99010 108911 148515 178218 217822 247525 297030 326733 445545 495050 544555 653466 742575 891090 980199 1089110 1485150 1633665 1960398 2227725 2722775 3267330 4455450 4900995 5445550 8168325 9801990 16336650 24504975 49009950